Question

One angle of a triangle measures 24 more than the smallest angle in the triangle. The third angle measures twice the measure of the smallest angle.

What is the measure of the smallest angle?

24

39

52

54

Answer 1

B. 39°

Explanation:

x + 24 + 2x + x = 180 is the equation I'll use.

x + 24 + 2x + x = 180 {Step 1: Combine 2x, x, x to get 4x.}

4x + 24 = 180 {Step 2: Subtract 24 from both sides (180 - 24 = 156)}

4x = 180 - 24

4x = 156 {Step 3: Divide both sides by 4 (156 / 4 = 39)}

x = 156/4

x = 39

The smallest angle is 39°. (The other two angles are 63° and 78°, respectively.)

Answer 2

smallest angle measure 39 degrees

Explanation:

the sum of the three interior angles in a triangle is always 180°

x= smallest

x +x+24 + 2x = 180

4x +24 = 180

4x = 156

x = 39